Impermanent Loss Calculator: DeFi Liquidity Pool vs HODL Engine
Calculate impermanent loss, constant-product AMM rebalancing, LP vs HODL portfolio returns, and break-even trading fee APR for DeFi liquidity pools.
50/50 Liquidity Pool Setup
Pool Token Inventory Rebalancing (Arbitrage Mechanics)
Price Divergence Sensitivity Matrix
Mathematical impermanent loss and portfolio valuations across relative price shifts
| Relative Ratio (r) | Price Move | Ethereum (ETH) Price | Pure IL % | HODL Value | LP Value | IL Drag ($) |
|---|---|---|---|---|---|---|
| 0.10x | -90% | $200 | -42.50% | $5,500 | $3,162.28 | $-2,337.72 |
| 0.20x | -80% | $400 | -25.46% | $6,000 | $4,472.14 | $-1,527.86 |
| 0.25x | -75% | $500 | -20.00% | $6,250 | $5,000 | $-1,250 |
| 0.33x | -66.67% | $666.6 | -13.40% | $6,666.5 | $5,773.21 | $-893.29 |
| 0.50x | -50% | $1,000 | -5.72% | $7,500 | $7,071.07 | $-428.93 |
| 0.67x | -33.33% | $1,333.4 | -2.02% | $8,333.5 | $8,165.17 | $-168.33 |
| 0.75x | -25% | $1,500 | -1.03% | $8,750 | $8,660.25 | $-89.75 |
| 0.90x | -10% | $1,800 | -0.14% | $9,500 | $9,486.83 | $-13.17 |
| 1x | +0% | $2,000 | 0.00% | $10,000 | $10,000 | $0 |
| 1.1x | +10% | $2,200 | -0.11% | $10,500 | $10,488.09 | $-11.91 |
| 1.25x | +25% | $2,500 | -0.62% | $11,250 | $11,180.34 | $-69.66 |
| 1.5x | +50% | $3,000 | -2.02% | $12,500 | $12,247.45 | $-252.55 |
| 1.75x | +75% | $3,500 | -3.79% | $13,750 | $13,228.76 | $-521.24 |
| 2x ◀ Current | +100% | $4,000 | -5.72% | $15,000 | $14,142.14 | $-857.86 |
| 2.5x | +150% | $5,000 | -9.65% | $17,500 | $15,811.39 | $-1,688.61 |
| 3x | +200% | $6,000 | -13.40% | $20,000 | $17,320.51 | $-2,679.49 |
| 4x | +300% | $8,000 | -20.00% | $25,000 | $20,000 | $-5,000 |
| 5x | +400% | $10,000 | -25.46% | $30,000 | $22,360.68 | $-7,639.32 |
| 10x | +900% | $20,000 | -42.50% | $55,000 | $31,622.78 | $-23,377.22 |
DeFi Analytical Notice: Models reflect standard 50/50 constant-product AMM mechanics (e.g. Uniswap v2). Concentrated liquidity ranges (v3) or weighted pools (Balancer) exhibit higher or different IL characteristics.
How Repayment & Lifecycle Works
Understanding the key phases of your loan or investment timeline
Deposit Assets into 50/50 AMM Pool
Equal fiat value of Token A and Token B is locked into the automated market maker smart contract, establishing the initial pool invariant k = x · y.
Market Prices Diverge & Arbitrageurs Rebalance
When external spot prices move, arbitrage traders swap with the pool to align its internal price ratio with broader market rates.
Pool Quantity Inventory Shifts
The AMM automatically sells portions of the appreciating token and buys more of the depreciating token to maintain 50/50 value equilibrium.
Evaluate Fee-Adjusted Net LP Performance vs HODL
Compare your final pool position value plus accumulated swap fees against the benchmark value of simply holding the initial tokens in a wallet.
Who Should Use the Impermanent Loss Calculator: DeFi Liquidity Pool vs HODL Engine?
DeFi Yield Farmers & Liquidity Providers
Evaluating whether decentralized exchange swap fee yields adequately compensate for expected directional volatility and impermanent loss drag.
Long-Term Crypto Investors & HODLers
Benchmarking passive wallet holding returns against active AMM liquidity provision across volatile market cycles.
Stablecoin & Pegged-Asset Poolers
Providing liquidity to low-divergence pairs (e.g. USDC/USDT or ETH/stETH) to capture steady trading fee APR with negligible impermanent loss.
DeFi Quantitative Researchers & DEX Analysts
Modeling constant-product invariant mechanics, pool depth dynamics, and required break-even fee yield thresholds.
Key Benefits
- Determine whether pool trading fees will outpace impermanent loss before committing capital to decentralized exchanges
- Identify your exact break-even fee APR hurdle rate for any expected token price volatility scenario
- Understand the exact token rebalancing mechanics that cause liquidity pools to sell winners and buy losers
- Compare holding spot crypto in cold storage against active DeFi yield farming strategies
Platform Features
- Rigorous constant-product AMM (x · y = k) mathematical engine modeling 50/50 liquidity pools
- Dual calculation modes: Explicit Spot Prices mode and Percentage Price Move mode
- Three-way comparative valuation: 100% HODL Benchmark vs Pure LP Position vs Fee-Adjusted LP Total
- Token inventory rebalancing calculator demonstrating exact automated arbitrage purchases and sales
- Analytical break-even fee solver calculating the exact fee dollar revenue and annualized APR required to offset IL
- Interactive SVG Impermanent Loss curve plotting real-time position markers along the mathematical divergence curve
- Comprehensive Price Divergence Sensitivity Matrix spanning 0.1x to 10x relative price shifts
- Multi-currency quoting across 9 major fiat denominations (USD, EUR, GBP, INR, CAD, AUD, AED, SGD, JPY)
Constant-Product AMM & Impermanent Loss Formulations
The ratio of new relative prices to initial relative prices: r = (P_A1 / P_B1) / (P_A0 / P_B0).
Total value if original tokens were held: A_0 \cdot P_{A1} + B_0 \cdot P_{B1}.
Total value in the pool: A_1 \cdot P_{A1} + B_1 \cdot P_{B1} = V_{\text{HODL}} \cdot \text{IL Factor}.
Total LP value including accumulated trading fee revenue minus the HODL benchmark: V_{\text{LP}} + \text{Fees} - V_{\text{HODL}}.
Practical Worked Scenarios
Case Study 1: 2x Ethereum Bull Market Divergence (ETH / USDC)
Case Study 2: High-Volume Trading Pool Overcoming 2.5x Price Divergence
Practical Strategies to Save Money
Target Correlated or Pegged Asset Pairs
Providing liquidity to pairs that move together (e.g. ETH/BTC or SOL/ETH) or pegged stablecoin pairs (USDC/USDT) keeps the relative price ratio near 1.0, virtually eliminating impermanent loss while capturing 100% of trading fee yields.
Evaluate Pool Volume-to-Liquidity (V/L) Ratio
Impermanent loss is a fixed mathematical function of price divergence. High trading volume relative to pool size generates the fee revenue required to exceed the IL hurdle rate.
Monitor Break-Even Annualized APR Thresholds
Before committing liquidity, calculate the minimum fee APR required to offset expected volatility over your intended holding timeframe using our built-in break-even solver.
Remember: Impermanent Loss is Only Realized on Withdrawal
If price divergence is cyclical and the relative price ratio returns to its starting level (r = 1.0) before you remove liquidity, your impermanent loss drops back to 0.00%, locking in accumulated fee revenue as pure profit.
Common Mistakes to Avoid
Critical financial oversights that reduce long-term returns
Confusing Impermanent Loss with Total Portfolio Loss: IL measures underperformance relative to holding, not absolute fiat loss.
Ignoring Trading Fee Yields: Evaluating IL in isolation without accounting for swap fee compounding produces an incomplete picture of LP profitability.
Applying 50/50 AMM Formulas to Concentrated Liquidity: Standard constant-product formulas underestimate IL for narrow-range Uniswap v3 positions.
Impermanent Loss Calculator: DeFi Liquidity Pool vs HODL Engine FAQs
Clear answers to common questions about calculations and methodology